Skip to main content

Advertisement

Log in

Equation of state for polymers based on glass transition data

  • Original Contribution
  • Published:
Colloid and Polymer Science Aims and scope Submit manuscript

Abstract

This paper addresses a method for predicting the participating constants in equation of state (EOS) for compressed polymeric fluids using two scaling constants, the surface tension γ g and the molar density ρ g, both at the glass transition point. The theoretical EOS undertaken is the one attributed to Tao and Mason. The second virial coefficients are calculated from a two-parameter corresponding states correlation, which is constructed with two constants as scaling parameters, i.e., the surface tension γ g and the molar density ρ g. This new correlation has been applied to the Tao–Mason (TM) EOS to predict the volumetric behavior of several polymer melts. The operating temperature range is from 291.25 to 603.4 K and pressures of up to 202.5 MPa. A collection of 516 data points has been examined for the aforementioned polymers. The average absolute deviation between the calculated densities and the experimental ones is of the order of 0.44%.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Dodgson K, Semlyen JA (1977) Studies of cyclic and linear poly(dimethyl siloxanes): 1. limiting viscosity number–molecular weight relationships. Polymer 18:1265

    Article  CAS  Google Scholar 

  2. Odian G (1991) Principles of polymerization. Wiley, New York

    Google Scholar 

  3. Mark HF, Bikales N, Overberger CG, Menges G, Kroschwitz JI (1986) Encyclopedia of polymer science and engineering. Wiley, New York

    Google Scholar 

  4. Resconi L, Jones RL, Rheingold AL, Yap GPA (1996) High-molecular-weight atactic polypropylene from metallocene catalysts. 1. Me2Si (9-Flu)2ZrX2 (X = Cl, Me). Organometallics 15:998

    Article  CAS  Google Scholar 

  5. Zhongde X, Mays J, Chen X, Hadjichristidis N, Schilling FC, Bair HE, Pearson DS, Fetters LJ (1985) Molecular characterization of poly(2-methyl-1,3-pentadiene) and its hydrogenated derivative, atactic polypropylene. Macromolecules 18:2560

    Article  Google Scholar 

  6. Tao FM, Mason EA (1994) Statistical–mechanical equation of state for nonpolar fluids: prediction of phase boundaries. J Chem Phys 100:9075

    Article  CAS  Google Scholar 

  7. Papari, M. M., Kiani, M., Moghadasi, J. (2011) Performance assessment of Tao–Mason equation of state: results for vapor–liquid equilibrium properties. J. Ind. Eng. Chem. (in press)

  8. Papari, M. M., Hosseini Bab Anari, E., Moghadasi, J. (2010) Modeling associated fluids using Tao and Mason’s equation of state, High Temp- High Press 39:307.

    CAS  Google Scholar 

  9. Yousefi F, Moghadasi J, Papari MM, Campo A (2009) Extension of Tao–Mason equation of state to mixtures: results for PVTx properties of refrigerants fluid mixtures. Ind Eng Chem Res 48:5079

    Article  CAS  Google Scholar 

  10. Ihm G, Song Y, Mason EA (1991) A new strong principle of corresponding states for nanpolar fluids. J Chem Phys 94:3839

    Article  CAS  Google Scholar 

  11. Song Y, Mason EA (1989) Statistical mechanical theory of a new analytical equation of state. J Chem Phys 91:7840

    Article  CAS  Google Scholar 

  12. Ihm G, Song Y, Mason EA (1992) Equation of state for mixtures of non-polar molecular fluids. Mol Phys 75:897

    Article  CAS  Google Scholar 

  13. Tao FM, Mason EA (1992) Equation of state for mixtures of nonpolar fluids: prediction from experimental constants of the components. Int J Thermophys 13:1053

    Article  CAS  Google Scholar 

  14. Boushehri A, Mason EA (1993) Equation of state for compressed liquids and their mixtures from the cohesive energy density. Int I Thermophys 14:685–697

    Article  CAS  Google Scholar 

  15. Ghatee MH, Boushehri A (1996) Equation of state for compressed liquids from surface tension. Int J Thermophys 17:945

    Article  CAS  Google Scholar 

  16. Mehdipour N, Boushehri A (1998) A equation of state for molten alkali metals from surface tension: part II. Int J Thermophys 19:331

    Article  CAS  Google Scholar 

  17. Eslami H (2001) Equation of state for nonpolar fluid mixtures: prediction from boiling point constants. Int J Thermophys 22:1781

    Article  CAS  Google Scholar 

  18. Sheikh S, Papari MM, Boushehri A (2002) Equation of state and pressure–volume–temperature properties of refrigerants based on speed of sound data. Ind Eng Chem Res 41:3274

    Article  CAS  Google Scholar 

  19. Papari MM, Razavizadeh A, Mokhberi F, Boushehri A (2003) Equation of state and P-V-T-x properties of refrigerant mixtures based on speed of sound data. Ind Eng Chem Res 42:3802

    Article  CAS  Google Scholar 

  20. Tsonopoulos C (1974) An empirical correlation of second virial coefficients. AIChE J 20:263

    Article  CAS  Google Scholar 

  21. Mark JE (1999) Polymer data handbook. Oxford University Press, New York

    Google Scholar 

  22. Brandrup J, Immergut EH, Grulke EA (2005) Polymer handbook. Wiley, New York

    Google Scholar 

  23. Mark JE (2007) Physical properties of polymers handbook. Springer, New York

    Book  Google Scholar 

  24. Ryong-Joon R (1968) Surface tension of polymer liquids. J Phys Chem 72:2013

    Article  Google Scholar 

  25. Wohlfarth C (2005) CRC handbook of thermodynamic data of polymer solutions at elevated pressures. Taylor & Francis, New York

    Book  Google Scholar 

  26. Papari, M. M., Moghadasi, J., Fadaei, F., Campo A. (2011) Modeling vapor–liquid equilibrium of mixtures with Tao–Mason equation of state. Fluid Phase Equilib. (in press)

Download references

Acknowledgments

The first four authors are grateful to the Shiraz University of Technology, Shiraz University and Payame noor University for supporting this research project.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammad Mehdi Papari.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Papari, M.M., Behjatmanesh-Ardakani, R., Kiani, M. et al. Equation of state for polymers based on glass transition data. Colloid Polym Sci 289, 1081–1087 (2011). https://doi.org/10.1007/s00396-011-2427-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00396-011-2427-7

Keywords

Navigation